Answer/Step-by-step explanation:
Let x hours be the number of hours Issac worked
x+6 hours be the number of hours Ruby worked
4(x+6) hours be the number of hours Svetlana worked.
x + x + 6 + 4(x+6) = 126
x + x + 6 + 4x +24 = 126
6x +30 = 126
6x = 96
x = 16
Therefore, Issac worked 16 hours.
Ruby worked 16+6 = 22 hours
Svetlana worked 22 × 4 = 88 hours.
If helpful, please mark as brainliest! =)
Answer: Ruby: 22 hours, Isaac: 16 hours & Svetlana: 88 hours.
Step-by-step explanation:
Let's begin by assigning letters to represent our unknowns:
R (hours Ruby worked)
I (hours Isaac worked)
S (hours Svetlana worked)
Now let's see if we can express all three unknowns in terms of one unknown, according to the facts given in the problem:
R = I + 6 (Ruby worked 6 more hours than Isaac)
S = 4R (Svetlana worked 4 times more hours than Ruby)
We can see that we can express the hours Isaac worked in terms of Ruby:
R = I + 6, therefore, I = R - 6
Now we have all three unknowns expressed in terms of one unknown (R). Now we can write an equation to express the given sum of their worked hours (126) in terms of our expressions for one unknown (R):
R + (R - 6) + 4R =126
Now let's solve our equation for the value of R and then use our expressions for R to calculate the values for I and S:
R + R - 6 + 4R = 126
6R - 6 = 126
6R = 126 + 6
6R = 132
R = 132/6
R = 22 (hours Ruby worked)
I = R - 6
I = 22 - 6
I = 16 (hours Isaac worked)
S = 4R
S = 4(22)
S = 88 (hours Svetlana worked)
68 less than 55 times a number is equal to the number(x). Please can someone tell me the value of the number(x)?
Answer:
x = 34/27 or 1 7/27
Step-by-step explanation:
55x - 68 = x
-68 = -54x
x = 68/54
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
How to solve the equation: -2(-3x-4)=14
Answer:
1
Step-by-step explanation:
-2(-3x-4)=14
6x + 8 = 14
6x= 14-8
6x=6
x=1
Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?
Answer:
1) 2 > -3 > -5
Step-by-step explanation:
that is mathematically correct
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
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Simplify: -5(3c-9) – 9c – 7c2 +5
What’s the answer?
Answer:
ANSWER: [tex]-7c^{2} -24c+50[/tex]
Step-by-step explanation:
How do you write 9/10 as a percentage
#To make a fraction into percentage, the easy way is to times the fraction with 100
The percentage of 9/109/10 × 100 = 90
#and so, the percentage of 9/10 is 90%
Answer : 90%In the triangle xyz, zv is both the median and the altitude, if xy=9x+12 and xz=11x+2 and yz=4x+20 find the perimeter
Answer:
The answer is "2(12x+17)"
Step-by-step explanation:
The formula of the perimeter:
[tex]\to \bold{P=xy+yz+xz}[/tex]
[tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
4. Communicate Precisely When you graph a quadratic function, the
y-intercept appears to be 1, and the x-intercepts appear to be -4 and 2.5.
Which values represent the solution(s) to the related equation of the
function? How can you check? Explain
Answer:
solo respondo esto por los puntos
solve this problem plss
-2 x < 12
Answer:
x<14
Step-by-step explanation:
Use the equation to identify a and b * a = 1/5 and b = 3 a = 3 and b = 1/5 a= 1/5 and b =1 a = 1 and b = 3
Answer:
[tex]a = 3[/tex]
[tex]b = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question
Required
Identify a and b
The given equation is an exponential function and the general form is:
[tex]f(x) = ab^x[/tex]
When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]
We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]
In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the number of books they read?
A. 5% decrease
B. 15% increase
C. 25% increase
D. 25% decrease
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answer: The length of the fence will be 150 feet
Step-by-step explanation:
The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula a^2 + b^2 = c^2
120 feet will be a
90 feet will be for b
this is because a and b are the two legs of the rectangle.
120^2 + 90^2 = c^2
14400 + 8100 = c^2
22500 = c^2
c =√22500
c= 150
Describe the shape. FOUNDATION. Help please :(
Answer:
90 degrees counterclockwise
Step-by-step explanation:
Answer:
jfmfmhhcmcmfnf. cbimvncnvnj
Simplify 5g + h - 3h + 2g
Answer:
7g-2h
Step-by-step explanation:
5g+2g+h-34 = 7g-2h
if x = 7, then 7 = x is an example of which property
Answer/Step-by-step explanation:
What do you mean by property?
I will guess for now, but if it is not right I will update it.
It would be the associative property since you are flipping the equation around.
Hope this helps :)
Please answer this correctly
Answer:
Correctly
Step-by-step explanation:
If p = 15, what is p ÷ 5 - 2?
Answer:
1
Step-by-step explanation:
p ÷ 5 - 2, If p = 15
15/5 - 2
(15/5=3)
3 - 2 = 1
1 is the answer
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
90 centimeters tall when 2 years old 100 centimeters tall when 5 do the number of centimeters and the number of years have a proportional relationship?
Answer:
10
Step-by-step explanation:
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
Answer:
he will pay 11.28 dollars. I hope it helps!
Answer:
Your answer would be $11.28
Step-by-step explanation:
if you find 4% of 282 you would get 11.28 so therefore it is your answer.
A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation
Answer:
31
Step-by-step explanation:
I rounded it down thats it
The equality for this equation is
175 + 8b >/= 425
B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides
8b >/= 250
Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says
**edited** I mean divide 8 from both sides.
b = ?
That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.
Riya looks at the temperature in the kitchen. What is the temperature in the kitchen to the nearest division
Answer:
24 degree Celsius
Step-by-step explanation:
Temperature may be defined as the intensity or the degree of heat that is present in any substance or present in the environment. It is the measure of hotness or coldness of any item or surroundings. Temperature is measured with the help of a comparative scale which shows the how hot or cold the place is or item is.
In the context, Riya uses a comparative scale like the thermometer to measure the temperature of the kitchen. The mercury level on the scale rises and stops at a point indicating the temperature of the kitchen.
Thus the temperature of the kitchen according to the scale is [tex]$24 ^ \circ C$[/tex].
Matt has 3 different colored T-shirts and 2 different colored shorts
How many outfits can Matt make with these clothes?
Answer:
Step-by-step explanation:
3 x 2 = 6
Matt can make 6 different outfits with these clothes.
What are the Combinations?Combinations are the procedures used in mathematics to pick k things from n different items without replacement.
The following formula computes the combinations of k items from n:
(n, k) = n! / k!×(n-k)!
Given that Matt has 3 different colored T-shirts and 2 different colored shorts.
Matt can make 3 x 2 = 6 different outfits with these clothes.
This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.
So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.
Learn more about permutation here:
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